$4$ of $12$

Example $4$:

A circular disc with mass $m$ rolls on a curved surface without slip.

Evaluate the magnitude of the angular velocity ${}^{}$ of the mass $m,$ as shown in the illustration.

Evaluate the magnitude of the friction force $F_R$ between the circular disc and the curved surface. Assume for this task that

$||{}^{}||=3,\frac{51}{s^{2.}}$

Given: $R=7m,$

$r=3m,m=4$

$kg,{}^{}=\frac{101}{s^2}$

$g=9,81\frac{m}{s^2}$